Question

What is the area of a semi circle that has a diameter of 1 1/2?

Answer 1

0.88 cm²

Explanation:

d = 1
`(1)/(2)` =
`(3)/(2)`

r =
`(d)/(2)`

=
`(3)/(2*2)`

=
`(3)/(4)`

Now, area of circle = πr² = π
`(3)/(4)`² = π
`(9)/(16)`

= 1.767 cm²

Area of the semicircle =
`(Area of Circle)/(2)` =
`(1.767)/(2)`

= 0.88 cm²

Answer 2

`A=0.8836`

Explanation:

Area of circle:

`\pi r^2`

By using the area of a circle, we can get the area of a semicircle:

`(\pi r^2)/(2)`

Let's convert the mixed fraction to an improper fraction and then a decimal:

`1(1)/(2)` =
`(3)/(2)` =
`1.5`

Now, we solved for the diameter, to get the radius, we need to divide the diameter by 2:

`(1.5)/(2) =0.75`

Now we have the radius, so we can plug in our values and find the area:

`(\pi0.75^2)/(2) = 0.88357293`

`A=0.88357293`